The compound probability of two events e and f is 1/8; the probability of e is 1/2 and of f is 1/3. e and f are independent.
true
false

If E and F were independent, the product of their probabilities would be:

Therefore the statement in the question is FALSE.

The events, E and F, are independent if we get the value of their compound probability when we multiply the probability of E and probability of F. 
                   compound probability P (E) x P (F)
                         1/8 (1/2) x (1/3) = 1/6
Since the probabilities are not equal, the events are DEPENDENT. Therefore, the answer is FALSE.